Solve ln 2+ln x = 5 . Round to the nearest thousandth, if necessary.
To solve this equation, we can use the properties of logarithms:
ln 2 + ln x = 5
Combine the two logarithms using the product rule of logarithms:
ln (2x) = 5
Now we can rewrite the equation using the definition of natural logarithm:
2x = e^5
Solve for x:
x = e^5 / 2
x ≈ 36.483 (rounded to the nearest thousandth)
Therefore, the solution to the equation ln 2 + ln x = 5 is x ≈ 36.483.